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S =/b21rt\\/1 + [f'(t)]2dt. 5. HOMEWORK (1) Let C be the segment y = 275 + 1 for t 6 [1,3]. (a) Use geometry to calculate the area of the surface obtained by rotating C about the taxis. (b) Use the surface integral formula to verify the answer that you got in (a). (2) Find the surface area obtained by rotating :9 = W, t E [4, 9] about the taxis. (3) Find the surface area obtained by rotating y = , 3: E [4, 9] about the yaxis. (4) Find the surface area obtained by rotating y = 152, t 6 [1,4] about the yaxis. (5) Discuss but do not submit. Let f (as) be the surface area obtained by rotating 3; = 1/153, t E [1, 9:] about the taxis. Find (if need be using Wolframalpha) (a) N)- (b) n2), (0) f (100). Is there a number M such that f($)